England have concluded their month of upheaval, in the glow of a much-needed and exhilarating Test match win, by adding Trevor Bayliss as the final piece of their new management jigsaw.

The England and Wales Cricket Board confirmed on Tuesday afternoon that the 52-year-old former New South Wales coach had got the nod as the new coach, preferred after all to his compatriot Jason Gillespie.

The start of his effective tenure will be delayed, even after his arrival in England next month, until he joins current caretaker and his future assistant Paul Farbrace to plot England's bid to regain the Ashes after their 2013/14 hammering in Australia.

Before then, though, the feelgood factor created by Monday's victory over New Zealand - replete with Ben Stokes' fastest Lord's century and a trademark tour de force 162 from captain Alastair Cook - means England will have no reason to fret about waiting for Bayliss.

They have every right for faith in Farbrace, who will soon be renewing his association with Bayliss following their successful partnership in charge of Sri Lanka.

Farbrace's genial approach brought rich reward, albeit in just one Test to date, as Cook's England recovered from a perilous position at the start of day four against the Kiwis to emerge emphatic winners by 124 runs.

More of the same will ensure the new coach inherits a spirit of optimism in time for the Ashes - and Lord's ought not to be a false dawn, given the potential in England's ranks.

Even so, against opponents who began the two-match series which resumes at Headingley on Friday ranked third in the International Cricket Council's Test table and were World Cup runners-up to Australia this year, Farbrace will have served England especially well through yet another tricky period if he is able to hand over the reins with recent success in all formats.

Cook, and then limited-overs captain Eoin Morgan, will need to be on their mettle too.

All have on their side, however, a developing nucleus of youthful talent to complement the established presences of Ian Bell with the bat and seamers James Anderson and Stuart Broad.

Anderson, like his captain, is on course for a memorable milestone in Leeds, where Cook needs 32 more runs to surpass his mentor Graham Gooch as England's leading all-time runscorer in Tests and the pace linchpin just one more wicket to become the first Englishman to 400.

Both should have a few years in them yet in Test cricket, while Lord's provided compelling evidence that Stokes has it in him to stand out in his generation as a world-beating all-rounder like no Englishman, even Andrew Flintoff, has done since Ian Botham's playing days.

There is much to encourage then, but notes of caution too for Farbrace - and then Bayliss.

So many since the 1980s have suffered from being hamstrung by Botham comparisons, and it is not clear how the fiery and mercurial Stokes might deal with anything like that weight of expectation.

Bell is in a lean run of form, and it has been hard at times to distinguish whether Moeen Ali - batting at eight now - is a better bet as England's frontline spinner than banker batsman Joe Root.

In short then, as England try to retain composure after the latest round of sackings and appointments, there are still issues.

Conspicuous by its absence from current complications, though, is the name of Kevin Pietersen.

Cook described one question about his exiled former team-mate as "absolutely irrelevant" on the eve of the Lord's Test.

It probably was not then. But if anyone decides to broach the subject at the captain's press conference in Leeds, they may deserve - and almost certainly get - short shrift.

England, perhaps and at last, can start to look forward with a little justifiable if still measured confidence for the first time since that Ashes whitewashing almost 18 months ago.